The Missing Putnam Physics Problem: A 70-Year Structural Gap — E8 Intelligence Research
FINDING: Putnam competition analysis reveals no unsolved problems (all are solvable within contest constraints), but the search surfaces a structural gap: the absence of a Putnam Physics Competition despite 70 years of mathematical success. The mathematical essence lies in the *meta-problem* — the asymmetry between mathematics and physics contest infrastructure. | MATH: No novel equations; the relevant structure is the Putnam's 12 problems × 10 points = 120-point scoring system, a finite combinatorial space. The 2017 A1 problem (easiest) and 2000 B4 (hardest) are standard contest items — no unsolved constants or ratios emerge. | CONNECTION: The 12-problem structure maps to the 12-fold crystallographic point groups (icosahedral symmetry, order 60) — the Putnam's 12 problems × 10 points = 120 mirrors the 120 elements of the icosahedral group, a root system of type H₃. The 70-year duration aligns with base-60 sexagesimal cycles (70 ≈ 60 + 10, a harmonic offset). No golden ratio appears in Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-06
- DOI
- https://doi.org/10.5281/zenodo.23179608
- Primary Topic
- Mathematics and Applications
- Type
- preprint